Which statement belongs in the area section of the venn diagram?

a venn diagram is shown with one circle labeled perimeter and the other labeled area.

choices:

the distance around a closed figure

the space or region of a closed figure

each side length is found

measured in units

The correct answer is:

The space or region of a closed figure

Explanation:

The area of a 2-dimensional is the amount of space contained within it. This means this is how the area circle in the diagram would be labeled.

The correct answer is:

The space or region of a closed figure.

The statement that best belongs to the Area section of the Venn diagram is:

The space or region of a closed figure.

As we know that Area is a measure of how much space there is inside a shape.

for example if we want to know how much paint will be required to paint a wall then we need to find the area of the wall.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.